TITLE: What books are prerequisites for Spivak's Calculus?
QUESTION [53 upvotes]: For financial reasons, I dropped out my senior year of college as a piano performance major. I will be returning to college to dual major in mathematics and computer science. I've taught myself to program out of SICP and would like to develop my mathematical chops. I got a 5 on the Calc BC test my junior year of high school and have always considered myself decent at math.
I prefer learning from rigorous material, so Spivak's Calculus seemed to be a logical choice. I made it through the first chapter, but was blindsided by the difficulty of the first chapter's problems. 
Question 1. So, after solving a few problems, I put Spivak aside and picked up How to Prove It to brush up my proof writing skills. I've long ways away from finishing that, but what prerequisite material is recommended for Spivak?
I remember feeling similarly overwhelmed when starting "Structure and Interpretation of Computer Programs" however, there's a lot of supplementary information available for that book and I now feel I mastered that material. "Helper" material for Spivak seems sparse (excepting the solutions manual). 
Question 2. Does anyone know of any video lectures that cover Spivak?
To my uninformed mind, Spivak seemed like a good way to "brush up" on Calculus while improving my general math skills. Obviously, I horribly underestimated its difficulty.

REPLY [2 votes]: If you're still looking for video lectures on real analysis, Dr. Francis Su at Harvey Mudd College has some very excellent ones on Youtube linked in their entirety at his course blog here: http://analysisyawp.blogspot.com. He does not use Spivak; he is using Rudin's real analysis book. 
However, if you are looking to learn the math you need for computer science, I think that real analysis might not be the best choice to start. Discrete math/structures are more relevant and applicable to the courses you'll be taking at first. For discrete math, I think Susanna Epps' discrete math book is good and has a lot of computer science application sections. Grimaldi's discrete math book is also excellent as well. 
Also, to make your studying productive and ensure that you'll be covering material you need to know, I think you should look into what books they're using in discrete math and calculus at your school.